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Finding the Fourth Proportional to 14,257.62, 19,676.79 and 9,469.10

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Solution

The fourth proportional to 14,257.62, 19,676.79 and 9,469.10 is: 13,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.62 : 19,676.79 = 9,469.10 : x
  2. Step 2: Convert to fraction form
    14,257.62/19,676.79 = 9,469.10/x
  3. Step 3: Cross multiply
    14,257.62x = 19,676.79 × 9,469.10
  4. Step 4: Simplify right side
    14,257.62x = 186,321,541.38
  5. Step 5: Solve for x
    x = 186,321,541.38/14,257.62
  6. Step 6: Final answer
    x = 13,068.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.